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Regular bipartite graphs with all 2-factors isomorphic

We prove that if G is a k-regular bipartite graph and all 2-factors of G are isomorphic then k⩽3.

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Bibliographic Details
Published in:Journal of combinatorial theory. Series B 2004-09, Vol.92 (1), p.151-161
Main Authors: Aldred, R.E.L., Funk, M., Jackson, Bill, Labbate, D., Sheehan, J.
Format: Article
Language:English
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Description
Summary:We prove that if G is a k-regular bipartite graph and all 2-factors of G are isomorphic then k⩽3.
ISSN:0095-8956
1096-0902
DOI:10.1016/j.jctb.2004.05.002